182k views
3 votes
Is ABC congruent to DEF?If yes, how do you know?

Is ABC congruent to DEF?If yes, how do you know?-example-1
User UberHans
by
4.1k points

1 Answer

4 votes

The Solution:

The correct answer is Yes, they are congruent.

Given the two triangles in the picture on the Question section.

We are asked if triangle ABC is congruent to triangle DEF (Answer Yes or No with an explanation of your answer).

Step-by-step explanation:


\begin{gathered} AB\cong DE\text{ (Reason: same marks on the length)} \\ \\ BC\cong EF\text{ (same marks)} \\ \\ \angle B\cong\angle E=90^o \\ \end{gathered}

By congruency theorem of Side-Angle-Side, it follows that:


\Delta ABC\cong\Delta DEF

Therefore, the correct answer is Yes, both triangles are congruent.

Is ABC congruent to DEF?If yes, how do you know?-example-1
User Safiya
by
5.0k points